Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to study the questions and decide the data in which of the statements are sufficient to answer the questions.
-
What is the price of 1 dozen oranges?
I. Price of 2 dozen oranges and 1 dozen banana is $110.
II. Price of 3 dozen apples and 1 dozen banana is $170.
III. Price of 1 dozen oranges and 1 dozen apples is $95.
-
- Only I and II or only I and III
- Only I and III or only II and III
- Only I and II or only II and III
- Only II and III
- All the three statements I, II and III necessary for answering the question.
Correct Option: E
As per given above statements , we have
Let, the price of 1 dozen oranges, 1 dozen banana and 1 dozen apples be x, y and z, respectively.
I. Price of 2 dozen oranges and 1 dozen banana = $110
⇒ 2x + y = 110
II. Price of 3 dozen apples and 1 dozen banana = $170
⇒ 3z + y = 170
III. Price of 1 dozen oranges and 1 dozen apples = $95
⇒ x + z = 95
we find the price of 1 dozen oranges .So, by combining all, we get the values of x = 45.
